tailieunhanh - Modeling and stability analysis for an ultrasonic motor
The model and the analytic steady state solution yield a detailed insight in essential dynamical phenomena by which the motor is driven. The model framework may be a guideline providing understanding in the working principle, dynamics, weighting of the parameters with respect to reliable, stable operation and optimization of such motors. Keywords: wobbling disk, ultrasonic motor, nonlinear dynamics, stability. | Vietnam Journal of Mechanics, VAST, Vol. 29, No. 3 (2007) , pp. 303 - 319 Special Issue Dedicated to the Memory of Prof. Nguyen Van Dao MODELING AND STABILITY ANALYSIS FOR AN ULTRASONIC MOTOR STEFANIE GUTSCHMIDT, GOTTFRIED 8PELSl3ERG-KORSPETER , PETER HAGEDORN Department of Mechanical Engineering, Dynamics and Vibrations Group Technische Universitt Darmstadt, Hochschulstr. 1, 64289 Darmstadt, Germany Abstract. The development of motor models, adequate for motor design and optimi zation is still behind the technological state of the art. The reason for this lies in the fact that a couple of years ago the main emphasis regarding ultrasonic motors was on findin g new principles or prototypes while today this has shifted towards optimiza tion of known working concepts and motors. A systematic motor optimization demands, among ot her things, a detailed dynamical understand ing of the motor which not too often exists for ultrasonic motors in general. The present study deals with modeling a wobbling disk piezoelectric motor. For the model the analytic steady state solution is derived and stability of the solution is investigated. The model and the analytic steady state solution yield a detailed insight in essential dynamical phenomena by which the motor is driven . The model framework may be a guideline providing understanding in the working principle, dynamics , weighting of the parameters with respect to reliable, stable operation and optimization of such motors. Keywords: wobbling disk, ultrasonic motor, nonlinear dynamics , stability. 1. INTRODUCTION In this paper we derive a model for a wobbling disk ultrasonic motor (USM) conside rin g as example CANON's bar-type motor (Fig. 1). This motor was the first mass produced Fig. 1. Photograph of CANON's bar-type ultrasonic motor U400 304 Stefanie Gutschmidt, Gottfried Spelsberg-Korspeter, and Peter Hagedorn USM in the world and has been used in Canon's autofocus lenses for more than 16 years now . The design of .
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